Finding the Third Proportional to 37,360 and 78,182

Step by Step Solution

1. Step 1: Write the proportion equation
   37,360 : 78,182 = 78,182 : x
2. Step 2: Convert to fraction form
   37,360/78,182 = 78,182/x
3. Step 3: Cross multiply
   37,360x = 78,182 × 78,182
4. Step 4: Simplify right side
   37,360x = 6,112,425,124
5. Step 5: Solve for x
   x = 6,112,425,124/37,360
6. Step 6: Final answer
   x = 163,608.81